The weekly demand for the Pulsar 25-in. color console television is given by the demand equation

px x d d 0.05 600, 0 12,000, where p denotes the wholesale unit price in dollars and x denotes the

quantity demanded. The weekly total cost function associated with manufacturing these sets is given by

3 2 Cx x x x ( ) 0.000002 0.03 400 80,000 , where C(x) denotes the total cost incurred in producing x sets.

Find the level of production that will yield a maximum profit for the manufacturer.